The Muon g-2 Experiment at Fermilab has recently released its first result, reporting a 460 parts-per-billion (ppb) measurement of the anomalous magnetic moment of the positive muon. This result is in agreement with the previous measurement from Brookhaven National Laboratory (BNL), which has famously disagreed with Standard Model calculations by greater than 3 standard deviations for over a decade. The combined Fermilab and BNL result sits 4.2 standard deviations above the Standard Model value recommended by the Muon g-2 Theory Initiative, although a recent lattice QDC calculation is not in significant disagreement with the experimental value. To achieve the muon g-2 measurement, the anomalous precession frequency of muons in a magnetic storage ring must be determined with high precision, and the average magnetic field experienced by these stored muons must be known equally well. The muon anomalous precession frequency is imprinted on the time-dependent energy distribution of decay positrons observed by 24 electromagnetic calorimeters. A suite of pulsed NMR probes continually monitors the magnetic field. This talk will describe the Fermilab g-2 Run 1 measurement and discuss prospects for future improvements in precision.